Computational heuristics for Troesch’s Problem in Plasma Physics

Abstract

Exponential Collocation Genetic Algorithm (ECGA) approach has been developed and analyzed for fast computation of hyperbolic sine nonlinear Troesch's problem which arises in the confinement of plasma. The governing equation is converted to an optimization problem by formulating the Fitness function in terms of an exponential basis. The problem is solved for three scenarios of Troesch's parameters of 0.5, 1, and 2 respectively. The stability of the solutions has been investigated for multiple independent runs. The results obtained in this work are in good agreement with the already published with enhanced stability and fast convergence. The developed technique is a simple and reliable method for the solution of hyperbolic sine nonlinear Troesch's problem.